What is unusual about the domain of the composite function f ◦ g for the functions f (x) = x1/2 and g(x) = −1−|x|?

Q: 2-f(x)={/¬x

A: Explanation of the answer is as follows

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: A function f(x) is given as follows: 2x + 1 f(X)* f(x) = Зх-1 f-(1) =?

A: f(x) =2x+13x-1 Weh have to find f-1(1)

Q: The function h(x)% = can be expressed in the form f(g(x)), where g(x) = (x + 3), and x + 3 f(x) is…

A: Given query is to find the function f(x).

Q: Given the functions fAx) = x - x and g(x) = x- 1, determine an equation for the combined Ax) y =…

A:

Q: What happens to the function f(x) = (x – 1)² +1 when it becomes f'(x) = ((x- 1)² + 1)? O It is…

A: topic - transformation

Q: Find the local and absolute extremum for the functions over their domain: 3. f(x) = x*(x - 2)7

A:

Q: find the rules for the composite functions f o g and g 0 f  f(x) = 6x^2 + 3x +8  g(x) = x + 1

A: given: f(x)=6x2+3x+8g(x)=x+1

Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

Q: If f(x) and g(x) are two functions defined by f(x) = √(x + 1) g(x) = | x - 1 |, then what is the…

A: To find f(g(9))

Q: For what value of x is the function f(x)=4/ x2-x-12 not continuous

A: Topic-continuity

Q: What is unusual about the domain of the composite function f o g for the functions f(x) = x 1 /2 and…

A:

Q: The function f(x) = x/(x - 2) is one-to-one. Find f -1

A: Given the function fx=xx-2 is one-to-one. To find: f-1 Solution: Given function can be written as:…

Q: 16. Given f (x) = x/(2+x) and g(x) = 2x/(1-x): a. Find f (g(x)) and g (f (x)). b. What does the…

A: Given functions:

Q: The function h(x)= 1 over x-8, can be expressed in the form f(g(x)), where g(x)= (x-8) , and f(x))…

A: use composition of function to find the function f(x).

Q: 1) Let f(x) = –2x² – 3x + 2 f (x+h)-f(x) Find where h # 0 and simplify your answer as much h…

A: We have to find the value of function

Q: Find the absolute extrema of the function f(x)= (x^3)-(9/2)(x^2)-30x+3 on the interval [0,6]

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Q: ) Find (f-g)(x) for the given functions. f(x)=3x²-x+5 and g(x) = 5x²-3

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Q: Determine the absolute extrema of the function f(x) = (x-3)e* on the interval -2 ≤x≤1.

A:

Q: The  ________________for a function f ( x ) for x and x + h in the domain of f, with h ≠ 0 is f ( x…

A: The  ________________for a function f ( x ) for x and x + h in the domain of f, with h ≠ 0 is f ( x…

Q: Evaluate the indicated function for f(x) = x2 - 2 and g(x) - 1 algebraically. (f - g)(2)

A:

Q: For the function f defined by f(x) = x2 - 4x + 1,

A: Given function: fx=x2-4x+1

Q: 1. Consider the function f(x) = -x² – 4x – 3 a) Determine f(-4), f(a), and f(a+ h).

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Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

A:

Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

A:

Q: 3-Examine the existence of f'(a) of each function at the specified points: bf(e)= <2 bf(x) = 2x ,x22…

A: We have to find the existence of f'(a) for the functions 1. f(x)=4,   x&lt;22x, x≥2   at a=22.…

Q: Let f be the function for x 7 Find the value of c that makes the function continuous.

A: Given the function  f(x) = x2-cfor x&lt;78x+3cfor x≥7

Q: Find the domain of the function in interval notation: f(x) = 1 I+3

A:

Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

A:

Q: Consider the function f(x) = 12x5 + 15x¹ - 240x³ +2. f(x) has inflection points at (reading from…

A:

Q: 2 Consider the function f (x) = x + 6x 3 (a) Find the domain of f (x).

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Q: The domain for the function f(x) = V-2(x – 1) is

A:

Q: Question in Image.

A:

Q: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: f(x)=x4-4x2=x2x2-4f(x)&gt;0⇔x2x2-4&gt;0⇔x2&gt;0 and x2-4&gt;0 or  x2&lt;0 and x2-4&lt;0⇔x∈ℝ \ 0 and…

Q: Find an approximation for the function f(x) = 2/(1 - x) for values of x near zero A) f(x) ≈ 2 - 2x…

A: To find the approximation

Q: Find the domain of the function Vx- 2 f(x) = х- 2 1 f(x) = х-1 Find f og 2. g(x) = x+3 1.

A:

Q: Find f(x) for the function. X x + 1 f(x) = f-1(x) =

A:

Q: At x = 3, the function given by f(x)={x2 , x<3 and 6x−9, x≧3 is? a) undefined b) continuous but…

A: Given function: fx=x2x&lt;36x-9x≥3 Clearly the function is defined on all real numbers. We have to…

Q: Let h(x) = f(x)g(x). If f (x) = 3x² – x – 4 and g(x) = -x² + 2, what is h' (-1)?

A:

Q: The function h(x)=1x+9 can be expressed in the form f(g(x)), where g(x)=(x+9), and f(x) is defined…

A: Given that h(x) can be expressed in the form of f(g(x)) .  We have to find f(x)

Q: For what value of c is the function below continuous at x=-3? f(x) = { c  when x=-3 1 when x = 1…

A: The function                     f(x)=c                       when x=-31                       when…

Q: Where is the function undefined and where is it equal to 0. f(x)=3e^2x-3

A: We can solve above question both through algebra and also through drawing it's graph. Both of them…

Q: 2. Given the function f defined by f(x) = 2x + 3x - 1, find: a. f(0) b. f(1/2) c. f(-3) d. f(3 - x')…

A: f(x) = 2x2+3x-1

Q: 8. For the function f(x)=3x+5-11, find the values of x such that f(x)=0.

A:

Q: Let ​f(x)= −4x −​1, ​h(x)= -x - 4   Find ​(f◦​h)(6​).

A: Given,

Q: Find the composite function for the given functions. = X' f.g for f(x) = 4x + 5 and g(x) = x2 - 2 O…

A:

Q: find and simplify f (a +h) -f (a) / h     (h is equal/not equal to 0) for function  F(x) =…

A: Consider the provided question,

Q: 1.) Is f(x)=(2x^3) + (300/x^3) + 4 increasing, decreasing or not changing at x=-2?

A: fx=2x3+300x3+4

Q: Find the relative extrema of f(x)=x(x²-1)³ and also find out the interval on which the function is…

A:

Q: Given the function f"(x) = -2x(x – 4)(x – 6), what conclusion can be drawn directly from the sign…

A: The given double derivative function is f"x=-2x3x-4x-6.